51256800778800 has 240 divisors, whose sum is σ = 171401104984320. Its totient is φ = 13068881464320.

The previous prime is 51256800778759. The next prime is 51256800778811. The reversal of 51256800778800 is 887700865215.

51256800778800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67712806 + ... + 68465594.

It is an arithmetic number, because the mean of its divisors is an integer number (714171270768).

Almost surely, 2^{51256800778800} is an apocalyptic number.

51256800778800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51256800778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85700552492160).

51256800778800 is an abundant number, since it is smaller than the sum of its proper divisors (120144304205520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51256800778800 is a wasteful number, since it uses less digits than its factorization.

51256800778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755300 (or 755289 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 51256800778800 in words is "fifty-one trillion, two hundred fifty-six billion, eight hundred million, seven hundred seventy-eight thousand, eight hundred".